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Consider the function f whose graph is shown below. Sketch the graph of the inverse. Consider the function f whose graph is shown below. Sketch the graph of the inverse.

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Suppose that f and g are the functions defined by the tables below. What is the domain of f ? Suppose that f and g are the functions defined by the tables below. What is the domain of f ?

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Suppose that h is defined by Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]? A) B) C) D) . What is the range of h if the domain of h is the interval (1, 5]?


A)
Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]? A) B) C) D)
B)
Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]? A) B) C) D)
C)
Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]? A) B) C) D)
D)
Suppose that h is defined by . What is the range of h if the domain of h is the interval (1, 5]? A) B) C) D)

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D

For For And , find a formula for . Simplify your results as much as possible. A) B) C) D) And For And , find a formula for . Simplify your results as much as possible. A) B) C) D) , find a formula for For And , find a formula for . Simplify your results as much as possible. A) B) C) D) . Simplify your results as much as possible.


A)
For And , find a formula for . Simplify your results as much as possible. A) B) C) D)
B)
For And , find a formula for . Simplify your results as much as possible. A) B) C) D)
C)
For And , find a formula for . Simplify your results as much as possible. A) B) C) D)
D)
For And , find a formula for . Simplify your results as much as possible. A) B) C) D)

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Choose the graph of the function Choose the graph of the function A) B) C) D)


A)
Choose the graph of the function A) B) C) D)
B)
Choose the graph of the function A) B) C) D)
C)
Choose the graph of the function A) B) C) D)
D)
Choose the graph of the function A) B) C) D)

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If g is the function completely defined by the table below, then 3 is in the domain of g. If g is the function completely defined by the table below, then 3 is in the domain of g.

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Suppose Suppose . If , then find a function f such that . . If Suppose . If , then find a function f such that . , then find a function f such that Suppose . If , then find a function f such that . .

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Assume that f is a function whose domain is the interval Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = 4f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g. , whose range is the interval Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = 4f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g. , and whose graph is the figure below. For g(x) = 4f(x), Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = 4f(x), A) find the domain of g. B) find the range of g. C) sketch the graph of g. A) find the domain of g. B) find the range of g. C) sketch the graph of g.

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Part A:
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Evaluate Evaluate assuming that and . assuming that Evaluate assuming that and . and Evaluate assuming that and . .

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Let f(x) = x2 - x3 with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by reflecting the graph of f in the vertical axis. Let f(x) = x<sup>2</sup> - x<sup>3</sup> with domain [-1, 2] and range [-4, 2], whose graph is shown below. The graph of g is obtained by reflecting the graph of f in the vertical axis. A) Sketch the graph of g B) Find the domain of g C) Give a formula for g D) Find the range of g A) Sketch the graph of g B) Find the domain of g C) Give a formula for g D) Find the range of g

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Part A: [-2, 1]
Part...

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Suppose Suppose . Evaluate f<sup> -</sup><sup>1</sup>(2). . Evaluate f -1(2).

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Suppose Suppose . Evaluate f<sup> -</sup><sup>1</sup>(-11). . Evaluate f -1(-11).

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2

Suppose Suppose . Find the range of f. A) B) C) D) . Find the range of f.


A)
Suppose . Find the range of f. A) B) C) D)
B)
Suppose . Find the range of f. A) B) C) D)
C)
Suppose . Find the range of f. A) B) C) D)
D)
Suppose . Find the range of f. A) B) C) D)

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Choose the composite of functions that would create the graph: Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And


A)
Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And For Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And And Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And
B)
Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And For Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And And Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And
C)
Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And For Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And And Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And
D)
Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And For Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And And Choose the composite of functions that would create the graph: A) For And B) For And C) For And D) For And

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Find the domain of Find the domain of . Write your answer as an interval or as the union of intervals. . Write your answer as an interval or as the union of intervals.

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Suppose f(x) = 2 - 16x2, where the domain of f equals Suppose f(x) = 2 - 16x<sup>2</sup>, where the domain of f equals . Find the domain of f<sup> -</sup><sup>1</sup>. . Find the domain of f -1.

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11eec3ef_33d3_4e14_ae1f_9972026f070a_TB10659_11

if f(x)=7xandg(x)=x249f(x)=7\sqrt{x} and g(x)=\frac{x^2}{49} then f(g(x)) = g(f(x)) for each x > 0.

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Suppose f(x) = x7 + 2x3. Evaluate (f -1(12))7 + 2(f -1(12))3 + 1.

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Consider the function f with domain (0, 20] whose graph is shown below, where a = 4, b = 12, and c = 20. Find the largest interval where f is increasing. Consider the function f with domain (0, 20] whose graph is shown below, where a = 4, b = 12, and c = 20. Find the largest interval where f is increasing. A) (0, 4] B) (12, 20) C) [8, 20] D) [12, 20]


A) (0, 4]
B) (12, 20)
C) [8, 20]
D) [12, 20]

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Assume that f is a function whose domain is the interval Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = f(x) - 3, A) find the domain of g. B) find the range of g. C) sketch the graph of g. , whose range is the interval Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = f(x) - 3, A) find the domain of g. B) find the range of g. C) sketch the graph of g. , and whose graph is the figure below. For g(x) = f(x) - 3, Assume that f is a function whose domain is the interval , whose range is the interval , and whose graph is the figure below. For g(x) = f(x) - 3, A) find the domain of g. B) find the range of g. C) sketch the graph of g. A) find the domain of g. B) find the range of g. C) sketch the graph of g.

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Part A:
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